Answer: The tall cliff is 118.20 feet tall and the short cliff is 70.32 feet tall.
If you draw a picture with 2 cliffs and a river in the middle, you have find 2 right triangles. In each triangle the adjacent side to our known angle is the river of 90 feet. And the unknown side is the opposite leg.
Therefore, we can set up a tangent equation.
From the top of the short cliff to the top of the tall cliff, we can right and solve the following trig equation:
tan(28) = x /90
x = 47.88
From the top of the short cliff to the bottom, we can right and solve the following trip equation.
tan(38) = x/90
x = 70.32
The 70.32 is also the height of the short cliff. And adding the two answers together will give you the height of the tall cliff.
Answer:
a vertical translation of 3 units upward
Step-by-step explanation:
Answer:
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Step-by-step explanation:
Answer:
y = 2 + ((-)6/5)x
Step-by-step explanation:
-6x-5y=-10
add 6x to both sides.
-5y = -10 +6x
divide both sides by -5
y = 2 - (6/5)x
Plug in 0 for x to get the y intercept:
f(0) = 2 - (6/5) (0)
y = 2
(0, 2) is the y intercept.
Do the same for values such as -1, -2, 1, and 2, etc.
Then graph it.
Answer:
Step-by-step explanation:
hello :
f(x) = a(x - h)²-k ....vertex form when the vertex is : (h,k)
h=1 and k=0 so : f(x) = a(x-1)²
a parabola that passes through the point (2,8) : f(2)=8
a(2-1)² =8
a= 8
f(x) = 8(x-1)²= 8(x²-2x+1)
f(x) 8x²-16x+8 .....standard form
